Calculus teachers -- are you looking for straightforward guided notes for your students on using the first derivative test to determine where a function is increasing or decreasing? This 2-page guided notes lesson walks students through how to use the candidates test to determine intervals of increasinganddecreasing for a given function. A coordinating video of the entire lesson is also included! About This Resource: Covers the first derivative test & identifying where a function is increasi
This self-checking worksheet has 9 functions which should be put into a graphing utility to find the maximum and/or minimum value. Then, using those values, find either the increasing or decreasing interval. When finished, the students will find a mathematical saying.
This is an engaging Calculus drag and drop activity on interval of monotonicity and relative and absolute extrema of polynomial, rational and radical functions. Students have 12 task cards - 6 per slide. Each card contains two problems A and B. Slide 1 (cards 1-6) -students have to determine the interval(s) of increasing/decreasing of the functions given. The first function is polynomial and the second is rational or radical. On slide 2 students have two tables and the answers are given there a
This worksheet requires the students to take the first derivative of a variety of different function including trig to find intervals of increase, decreaseand find the local extremas. Solutions are provided. Chain rule is useful for several problems.
MATCHING. Given 12 different functions, use the first derivative test to determine the intervals of INCREASE & DECREASE. (Versatiles make this a self checking practice activity.)
Bundle of resources for a lesson on IncreasingandDecreasing Intervals. Includes the following (note that all resources can be edited, equations may require MathType): PowerPoint presentation for the lesson itselfWord Guided Notes to go with lessonWord handouts for a homework assignment plus 1 to 6 extra practice problem sets, depending on the lesson. Most questions are at AP level of rigor.PowerPoint presentations for full solutions to problem setsThe layout is very straightforward (no visua
Topic: IncreaseandDecrease of Functions Objectives: In this lesson, students will be able to ●determine intervals of increaseanddecrease of a function ●find the coordinates of critical points using the first derivative. This presentation is ready to be used in class by teachers. You may need to make small changes depending on the details you teach. My PowerPoint presentations give you all what you need to teach in a classroom. Each presentation contains the following slides: Recall Sl
I use this exploration as an introduction into using first derivative number lines to determine intervals of increasing, decreasingand relative extrema.
This is a walk-around-the-room activity. Finding the maxima and minima as well as finding the increasinganddecreasing intervals are reviewed in this activity. It can be used with Algebra 2 as well as Pre-calculus and Calculus.
This self-checking worksheet works the student on increasinganddecreasing open intervals using differentiation. The differentiation rules used are power rule, quotient rule and chain rule. Some trig functions are also included. When finished, the student will find the answer to a riddle.
Looking for a self-checking digital activity to engage Calculus students who are practicing using the derivative to determine when a function is increasing or decreasing? In this no prep digital activity, students will use the sign of the derivative to determine the intervals when a function is increasing or decreasing. In the self-checking Google Sheets activity, Triple 7 Jackpot, students must correctly evaluate a limit to scratch off their digital lottery ticket. As students correctly answ
Looking for a self-checking digital Christmas activity to engage Calculus students who are practicing using the derivative to determine when a function is increasing or decreasing? In this no prep digital holiday activity, students will use the sign of the derivative to determine the intervals when a function is increasing or decreasing. In the self-checking Google Sheets activity, Peppermint Payday, students must correctly evaluate a limit to scratch off their digital lottery ticket. As stud
This is the 3rd QUARTER of the entire full year of powerpoint presentation lessons, notes, worksheets and google slides activities. Some things have answer keys and other don't. AP Calculus Course Curriculum Content:Unit 5 Analytical Applications of Derivatives5.1 Using the Mean Value Theorem 5.2 Extreme Value Theorem, Global Versus Local Extrema, and Critical Points 5.3 Determining Intervals on Which a Function is Increasing or Decreasing 5.4 Using the First Derivative Test to
This bundle includes 5 exam-style free-response questions (FRQs) and 68 exam-style multiple-choice questions (MCQs) built around Unit 5: Function Analysis with Derivatives, designed for students in a Calculus AB class or similar introductory calculus course. Together, these cover the full range of Unit 5 topics: The Mean Value Theorem (MVT)The Extreme Value Theorem (EVT)Intervals of increase/decreaseThe first derivative testFinding absolute extrema with the candidates testConcavityThe second der
Help students review connecting the graphs of f f' and f'' (the first and second derivative graphs) with the fun card sort activity. All questions in this word scramble activity are aligned to AP Calculus sections 5.3 Determining Intervals on Which a Function is Increasing or Decreasing 5.4 Using the First Derivative Test to Determine Relative Local Extrema 5.6 Determining Concavity of Functions over Their Domains 5.8 Sketching Graphs of Functions and Their Derivatives 5.9 Connecting a Function,
Help your Calculus students practice slope fields and differential equations with this Slope Fields Color by Number Activity, a fun, low-prep calculus worksheet perfect for AP Calculus AB. Students will practice interpreting slope fields by matching each slope field to the correct differential equation. This resource is perfect for helping students connect the visual representation of a differential equation to the behavior it models. Students will analyze key features such as: where slopes
Clear up common interval notation misconceptions! Students connect intervals to x values and graphical representation of a function. Watch the lightbulb turn on with this activity. It works great as a warm-up, exit ticket, or short tutorial when students need a little extra practice reading graphs and thinking through function behavior. Students will practice: Determining where a graph is increasing, decreasing, or constantWriting answers in interval notationBuilding confidence with graph interp
Are you looking for extra practice for your Calculus students finding the Derivatives of the Logarithmic Functions? This set of 20 task cards is just what your students need to help them master and gain fluency with this challenging topic. What's Included?20 Task Cards which increase in difficulty numerically. #1 - 15 are logarithmic functions and the derivatives will use power rule, product rule, and quotient rule. #16 - 18 have bases other than e, and 19 – 20 are applications. Most problems
Are you looking for extra practice for your Calculus students finding the derivatives of Exponential Functions? This set of 20 task cards is just what you want to help your Calculus students master and gain fluency with differentiating exponential functions. What's Included?2 Sets of 20 Task Cards which increase in difficulty numerically. #1 - 11 are exponential which include power rule, product rule, and quotient rule. They also include questions in the form of y = e^ax. #11-15 have bases ot
Engage your Year 11 ATAR Mathematics Methods students with this comprehensive Applications of Derivatives to Kinematics worksheet. Designed to build confidence in applying calculus to motion problems, this resource includes a wide range of questions from straightforward calculations to applied problem-solving and mixed challenges. What’s Inside: Part A: Fundamental differentiation practice with displacement, velocity, and acceleration. Part B: Real-world applied kinematics problems (cars, ball
*The product is designed for PreCalculus through Calculus. These are 10 practice pages/sheets on sequences containing a total of 80 classified problems. Students will find the first n terms of explicitly- defined sequence (page 1, 10 problems)find the first n terms of recursively – defined sequence (page 2, 8 problems)write the explicit rule for the nth term of a given sequence (page 3, 10 problems)determine whether given sequences are monotonic (page 4, 8 problems)prove that given sequence
This resource has a pdf of handwritten notes for the fifth topic of the recently changed Applications and Interpretations HL (AIHL) course. This has the 8 subtopics that are included in A & I SL, plus an additional 10 subtopics for HL. There will also be significant overlap with the A & A Calculus. The other three courses have been available for a while, and I have only just been able to get A & I HL written, in time for the 2023 May exams. My hope is that if you like this resource, please ‘foll